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7. (6 points) Let \( T \) be a relation defined on the set \( A = \{1, 2, 3\} \) such that \( T = \{(1,1), (1,2), (2,2), (2,3)\} \). a. Is \( T \) reflexive? EXPLAIN. b. Is \( T \) transitive? EXPLAIN. c. Is \( T \) also a function? EXPLAIN.

7. (6 points) Let \( T \) be a relation defined on the set \( A = \{1, 2, 3\} \) such that \( T = \{(1,1), (1,2), (2,2), (2,3)\} \). a. Is \( T \) reflexive? EXPLAIN. b. Is \( T \) transitive? EXPLAIN. c. Is \( T \) also a function? EXPLAIN.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. (6 points) Let \( T \) be a relation defined on the set \( A = \{1, 2, 3\} \) such that \( T = \{(1,1), (1,2), (2,2), (2,3)\} \). a. Is \( T \) reflexive? EXPLAIN. b. Is \( T \) transitive? EXPLAIN. c. Is \( T \) also a function? EXPLAIN.
Transcribed Image Text:7. (6 points) Let \( T \) be a relation defined on the set \( A = \{1, 2, 3\} \) such that \( T = \{(1,1), (1,2), (2,2), (2,3)\} \). a. Is \( T \) reflexive? EXPLAIN. b. Is \( T \) transitive? EXPLAIN. c. Is \( T \) also a function? EXPLAIN.
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